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Finding the Fourth Proportional to 16,217.72, 22,380.42 and 9,144.10

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Solution

The fourth proportional to 16,217.72, 22,380.42 and 9,144.10 is: 12,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.72 : 22,380.42 = 9,144.10 : x
  2. Step 2: Convert to fraction form
    16,217.72/22,380.42 = 9,144.10/x
  3. Step 3: Cross multiply
    16,217.72x = 22,380.42 × 9,144.10
  4. Step 4: Simplify right side
    16,217.72x = 204,648,798.52
  5. Step 5: Solve for x
    x = 204,648,798.52/16,217.72
  6. Step 6: Final answer
    x = 12,618.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.